TY - JOUR
AU - Sasahara, Tooru
PY - 2000/12/31
Y2 - 2022/05/29
TI - Three-dimensional CR-submanifolds in the nearly Kaehler six-sphere satisfying B.Y. Chen's basic equality
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 31
IS - 4
SE -
DO - 10.5556/j.tkjm.31.2000.386
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/386
SP - 289-296
AB - B. Y. Chen introduced in [3] an important Riemannian invariant for a Riemannian manifold and obtained a sharp inequality between his invariant and the squared mean curvature for arbitrary submanifolds in real space forms. In this paper we investigate 3-dimensional CR-submanifolds in the nearly Kaehler 6-sphere which realize the equality case of the inequality.
ER -